University of Georgia
Mathematics Department Colloquium
Professor Juping Wang
April 15, 2003
Converse Theorem of Jacobi Forms
For every Jacobi form of index m and weight k
with Shimura type, an associated system of L-functions is given. These
functions can be analytically continued to the whole complex plane and
satisfy a kind of functional equation. As a consequence, Hecke's
converse theorem on modular forms can be extended to this context.